13 citations · 38 across the 5 of their papers we have counts for
5 papers
Inverse scattering on the half-line for energy-dependent Schrödinger equations
Rostyslav Hryniv, Stepan Manko
In this paper, we study the inverse scattering problem for energy-dependent Schrödinger equations on the half-line with energy-dependent boundary conditions at the origin. Under ce…
Spectral properties of magnetic chain graphs
Pavel Exner, Stepan Manko
We discuss spectral properties of a charged quantum particle confined to a chain graph consisting of an infinite array of rings under influence of a magnetic field assuming a -c…
Spectra of magnetic chain graphs: coupling constant perturbations
Pavel Exner, Stepan S. Manko
We analyze spectral properties of a quantum graph in the form of a ring chain with a coupling in the vertices exposed to a homogeneous magnetic field perpendicular to the graph…
Approximations of quantum-graph vertex couplings by singularly scaled rank-one operators
Pavel Exner, Stepan Manko
We investigate approximations of the vertex coupling on a star-shaped graph by families of operators with singularly scaled rank-one interactions. We find a family of vertex coupli…
Approximations of quantum-graph vertex couplings by singularly scaled potentials
Pavel Exner, Stepan S. Manko
We investigate the limit properties of a family of Schrödinger operators of the form $H_\varepsilon= -\frac{\mathrm{d}^2}{\mathrm{d}x^2}+ \frac{λ(\varepsilon)}{\varepsilon^2}Q \big…